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Figure RHOM is a rhombus. Line segment R O and Line segment H M are the diagonals of the rhombus, as well as angle bisectors of the vertex angles, and they create four isosceles triangles: HOM, MHR, RHO, and OMR.
Rhombus R H O M has all equal side lengths. Lines are drawn from each point to point S at the center.
What is true about AngleMSR?
It must be acute.
It must be a right angle.
It must be equal to AngleMRH.
It must be equal to AngleRMS.
Rhombus R H O M has all equal side lengths. Lines are drawn from each point to point S at the center.
What is true about AngleMSR?
It must be acute.
It must be a right angle.
It must be equal to AngleMRH.
It must be equal to AngleRMS.
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Answered by
GPT-5 mini
It must be a right angle.
Reason: In a rhombus the diagonals are perpendicular bisectors of each other, so RO ⟂ HM. Since RS lies on RO and MS lies on HM, RS ⟂ MS and ∠MSR = 90°.
Reason: In a rhombus the diagonals are perpendicular bisectors of each other, so RO ⟂ HM. Since RS lies on RO and MS lies on HM, RS ⟂ MS and ∠MSR = 90°.
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